7004007406667 has 8 divisors (see below), whose sum is σ = 7013732846400. Its totient is φ = 6994282638024.

The previous prime is 7004007406609. The next prime is 7004007406741. The reversal of 7004007406667 is 7666047004007.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7004007406667 - 2⁶ = 7004007406603 is a prime.

It is a super-2 number, since 2×7004007406667² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7004007408667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22919048 + ... + 23222634.

It is an arithmetic number, because the mean of its divisors is an integer number (876716605800).

Almost surely, 2^{7004007406667} is an apocalyptic number.

7004007406667 is a deficient number, since it is larger than the sum of its proper divisors (9725439733).

7004007406667 is a wasteful number, since it uses less digits than its factorization.

7004007406667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335545.

The product of its (nonzero) digits is 1185408, while the sum is 47.

The spelling of 7004007406667 in words is "seven trillion, four billion, seven million, four hundred six thousand, six hundred sixty-seven".